The terminals of a battery of emf 24.0 V and internal resistance of 1.0 Ω is connected to an external resistor 5.0 Ω. Find the terminal p.d.

A.

18.0V

B.

12.0V

C.

16.0V

D.

20.0V

Correct answer is D

ε = 24.0 V,  r=1Ω,  R=5.0Ω

terminal p·d = ?

ε = IR+Ir = I(R+r) 

⇒ IR+Ir = I(R+r)
 
⇒ I = \(\frac{24}{5+1}\)

⇒ I =\(\frac{24}{6}\)

⇒ I = 4 A

terminal p·d = 4 × 5  

terminal p·d  =  20.0 V